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Finding the Third Proportional to 35,675.44 and 84,518.44

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Solution

The third proportional to 35,675.44 and 84,518.44 is: 200,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.44 : 84,518.44 = 84,518.44 : x
  2. Step 2: Convert to fraction form
    35,675.44/84,518.44 = 84,518.44/x
  3. Step 3: Cross multiply
    35,675.44x = 84,518.44 × 84,518.44
  4. Step 4: Simplify right side
    35,675.44x = 7,143,366,277.44
  5. Step 5: Solve for x
    x = 7,143,366,277.44/35,675.44
  6. Step 6: Final answer
    x = 200,232.06

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.